428046444
428,046,444 is an even composite number composed of five prime numbers multiplied together.
428046444 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428046444:
22 × 35 × 7 × 53 × 1187
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 53 × 1187)See below for interesting mathematical facts about the number 428046444 from the Numbermatics database.
Names of 428046444
- Cardinal: 428046444 can be written as Four hundred twenty-eight million, forty-six thousand, four hundred forty-four.
Scientific notation
- Scientific notation: 4.28046444 × 108
Factors of 428046444
Divisors of 428046444
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 243 252 318 324 371 378 477 486 567 636 742 756 954 972 1113 1134 1187 1431 1484 1701 1908 2226 2268 2374 2862 3339 3402 3561 4293 4452 4748 5724 6678 6804 7122 8309 8586 10017 10683 12879 13356 14244 16618 17172 20034 21366 24927 25758 30051 32049 33236 40068 42732 49854 51516 60102 62911 64098 74781 90153 96147 99708 120204 125822 128196 149562 180306 188733 192294 224343 251644 288441 299124 360612 377466 384588 440377 448686 566199 576882 673029 754932 880754 897372 1132398 1153764 1321131 1346058 1698597 1761508 2019087 2264796 2642262 2692116 3397194 3963393 4038174 5095791 5284524 6794388 7926786 8076348 10191582 11890179 15287373 15853572 20383164 23780358 30574746 35670537 47560716 61149492 71341074 107011611 142682148 214023222 428046444
- Sum of all divisors σ(n): 1307674368
- Sum of proper divisors (its aliquot sum) s(n): 879627924
- 428046444 is an abundant number, because the sum of its proper divisors (879627924) is greater than itself. Its abundance is 451581480
Bases of 428046444
- Binary: 110011000001101111000011011002
- Hexadecimal: 0x1983786C
- Base-36: 72UIR0
Squares and roots of 428046444
- 428046444 squared (4280464442) is 183223758221045136
- 428046444 cubed (4280464443) is 78428278162834136428296384
-
The
square root of 428046444 is 20689.2833128651 -
The
cube root of 428046444 is 753.6394625163
Scales and comparisons
How big is 428046444?- 428,046,444 seconds is equal to 13 years, 31 weeks, 5 days, 5 hours, 47 minutes, 24 seconds.
-
To count from 1 to 428,046,444 would take you about twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428046444 cubic inches would be around 62.8 feet tall.
Recreational maths with 428046444
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